Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains
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DOI: 10.1007/s00211-021-01264-x
Abstract: This article is concerned with the discretisation of the Stokes equations on time-dependent domains in an Eulerian coordinate framework. Our work can be seen as an extension of a recent paper by Lehrenfeld and Olshanskii… read more here.
Keywords: time; dependent domains; time stepping; equations time ... See more keywords
Stochastic and partial differential equations on non-smooth time-dependent domains
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DOI: 10.1016/j.spa.2018.04.006
Abstract: In this article, we consider non-smooth time-dependent domains and single-valued, smoothly varying directions of reflection at the boundary. In this setting, we first prove existence and uniqueness of strong solutions to stochastic differential equations with… read more here.
Keywords: dependent domains; differential equations; smooth time; time dependent ... See more keywords